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Finding the Fourth Proportional to 49,582, 68,423.16 and 27,227.44

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Solution

The fourth proportional to 49,582, 68,423.16 and 27,227.44 is: 37,573.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,582 : 68,423.16 = 27,227.44 : x
  2. Step 2: Convert to fraction form
    49,582/68,423.16 = 27,227.44/x
  3. Step 3: Cross multiply
    49,582x = 68,423.16 × 27,227.44
  4. Step 4: Simplify right side
    49,582x = 1,862,987,483.51
  5. Step 5: Solve for x
    x = 1,862,987,483.51/49,582
  6. Step 6: Final answer
    x = 37,573.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.